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Finding the Fourth Proportional to 102,329.70, 141,142.77 and 59,896.68

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Solution

The fourth proportional to 102,329.70, 141,142.77 and 59,896.68 is: 82,615.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,329.70 : 141,142.77 = 59,896.68 : x
  2. Step 2: Convert to fraction form
    102,329.70/141,142.77 = 59,896.68/x
  3. Step 3: Cross multiply
    102,329.70x = 141,142.77 × 59,896.68
  4. Step 4: Simplify right side
    102,329.70x = 8,453,983,329.00
  5. Step 5: Solve for x
    x = 8,453,983,329.00/102,329.70
  6. Step 6: Final answer
    x = 82,615.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.